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U8 Probability Mega Review

Total questions: 142

Worksheet time: 8hrs 0mins

Name
Class
Date
1.

Mary is a good student. The probability that she studies and passes her test is 0.60. If the probability that she studies is 0.89. What is the probability that she passes given that she studies? 

a)

0.675

b)
1.48
c)
.008
d)
.0593
2.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
3.
What is the probability that they speak French given they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
4.
What is the probability that a student does play a sport given they do not play an instrument? 
a)
.2
b)
.2222
c)
.10
d)
.5
5.
What is the probability that a female is chose given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
6.
A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold an AA card, and 40 hold a Visa and AA card. Find the probability that a random chosen customer holds a Visa and AA card, given they hold a Visa. 
a)
.0267
b)
37.5
c)
.02
d)
.3333
7.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
8.
a)
.2855
b)
.6246
c)
.0922
d)
.3230
9.

A science teacher gave her class two tests. 25% of the class passed both tests and 42% of the class passed the first test. What percent of those who passed the first test also passed the second?

a)

59.5%

b)

10.5%

c)

1.6%

d)

Not enough information

10.

A jar contains black and white marbles. Two marbles are chosen without replacement. The probability of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black marble on the first draw is 0.47. What is the probability of selecting a white marble on the second draw, given that the first marble drawn was black?

a)

16%

b)

1.38%

c)

72.3%

d)

27.7%

11.

In a school the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes technology is 0.68. What is the probability that a student takes Spanish given that the student is taking Technology?

a)

7.8%

b)

12.8%

c)

5.9%

d)

Not enough information

12.

45% total of the children in a school have a dog, 30% total have a cat, and 18% have a dog and cat. What percent of those who have a cat also have a dog?

a)

60%

b)

40%

c)

24%

d)

1.7%

13.

What is P(Red given blue)?

a)

50%

b)

26.7%

c)

57.1%

d)

46.7%

14.

What is P(late both days)?

a)

30%

b)

9%

c)

60%

d)

90%

15.
What percentage of girls have blonde hair?
a)
30%
b)
32%
c)
29%
d)
40%
16.

P(Fr|F)

a)

206/517

b)

206/1792

c)

206/751

d)

512/1792

17.

Given P(A) = .8 and P( B| A) = .3, find P( A and B).

a)

2.6

b)

.12

c)

.24

d)

.38

18.

Given the following VENN Diagram answer the following.


P( A | B )

a)

2

b)

.4

c)

.67

d)

.8

19.

Given the following VENN Diagram answer the following


P( B | A )

a)

.4

b)

.25

c)

.5

d)

.67

20.

A number is selected, at random, from the set {1, 2, 3, 4, 5, 6, 7, 8}.

Find P(odd given less than 7).

a)

1/2

b)

3/8

c)

4/7

d)

1/4

21.

A box contains 3 blue marbles, 5 red marbles, and 4 white marbles. Find P(blue given not white).

a)

3/8

b)

1/4

c)

5/12

d)

5/8

22.

A dice is tossed.

Find P(less than 5 | even number).

a)

2/3

b)

3/6

c)

1/2

d)

1/3

23.

A dice is tossed.

Find P(2 | number greater than 3).

a)

0

b)

1/3

c)

1/6

d)

uhhh...

24.
What is P(not sport | Foreign language)?
a)
23/37
b)
14/23
c)
14/37
d)
3/23
25.

There are 14 tiles with one letter from the word MATHEMATICIANS on each. Find the probability of randomly choosing the letter "M".

a)

1/2

b)

1/7

c)

1/14

d)

2/7

26.
A jar contains 8 marbles: 3 are red and 5 are blue. What is the probability of selecting a red marble, replacing it, and then selecting another red marble?
a)
9/64
b)
6/56
c)
15/64
d)
25/64
27.

What is the probability of the spin stopping on yellow?

a)

1/4

b)

.25

c)

50%

d)

75%

28.

Find the probability of rolling a 7 on a single die.

a)

1/6

b)

7/6

c)

0

d)

7/7

29.
A day in the year is randomly chosen. Given the day is in the month of December, what is the probability the day is the 25th? (December has 31 total days.)
a)
8.5%
b)
8.84%
c)
80.6%
d)
3.2%
30.

A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?

a)

1/9

b)

2/9

c)

5/21

d)

10/21

31.

In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a brown, then black sock?

a)

1/11

b)

1/18

c)

1/36

d)

2/33

32.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
33.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
34.
What is the probability that a female is chosen given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
35.
What percentage of the days that it rained, did they forecast no rain?
a)
About 20%
b)
About 18%
c)
About 14%
d)
About 12%
36.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)
a)
2/9
b)
1/3
c)
1/2
d)
1/4
37.
What is P(Foreign language | Sport)?
a)
14/27
b)
7/12
c)
23/47
d)
37/47
38.
Say 'TRUE' or 'FALSE'
In any situation that has only two outcomes, each outcome will be probability ½
a)
TRUE
b)
FALSE
39.
How many senior boys play football or wrestle?
a)
9
b)
21
c)
30
d)
39
40.
A recent study of 200 nurses found that of 125 female nurses, 56 had bachelor's degrees:  and of 75 male nurses, 34 had bachelor's degrees.  If a nurse is selected at random, find the probability that the nurse is a female or has a bachelor degree.
a)
159/200
b)
125/200
c)
215/200
d)
90/200
41.
P(A) = .4
P(B) = .55
P(A intersection B) = .3
Find P(AUB)
a)
.65
b)
.95
c)
.3
d)
What?????
42.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
43.

Find P(MD)

a)

42132\frac{42}{132}

b)

35132\frac{35}{132}

c)

20132\frac{20}{132}

d)

1323\frac{13}{23}

44.
If an event cannot occur, then its probability is 
a)
1
b)
½
c)
¼
d)
0
45.
If E be an event  such that P(E) = 3⁄7, then P(not E) is _______
a)
4⁄7
b)
6⁄7
c)
5⁄7
d)
None of these
46.
Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 
a)
27/40
b)
1.48
c)
.008
d)
.0593
47.
A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold an AA card, and 40 hold a Visa and AA card. Find the probability that a random chosen customer holds a Visa and AA card, given they hold a Visa. 
a)
.0267
b)
37.5
c)
.02
d)
.3333
48.
Pablo chooses a colored marble from a mixed bag and writes down the color. Pablo leaves it out and then draws another.
a)
Independent
b)
Dependent
49.

Rolling a pair of dice, find P(sum is 7 or 11).

a)

50%

b)

16%

c)

17%

d)

22%

50.
What statement does the shaded region represent?
a)
A or B and C
b)
Not C
c)
A or B
d)
B and C or A
51.

Roll a die one time. Find P(a number greater than 3 or odd).

a)

0

b)

1/2

c)

5/6

d)

1/6

52.
What is P(not sport | Foreign language)?
a)
23/37
b)
14/23
c)
14/37
d)
3/23
53.

Find the probability of picking a red pen then a blue pen

a)

5690\frac{56}{90}

b)

1690\frac{16}{90}

c)

16100\frac{16}{100}

d)

1090\frac{10}{90}

54.
Clara picks a card at random, puts it back, and then picks another card at random.
a)
Independent
b)
Dependent
55.
Answer the question in the image
a)
10
b)
14
c)
21
d)
17
56.
What is P(A or B | C)?
a)
5/8
b)
5/16
c)
4/5
d)
11/16
57.
What statement does the shaded region represent?
a)
A and B and C
b)
A or B and C
c)
B and C
d)
A or C
58.
Answer the question in the image
a)
5
b)
2
c)
7
d)
3
59.
What is P(Foreign language | Sport)?
a)
14/27
b)
7/12
c)
23/47
d)
37/47
60.

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?

a)

1/4

b)

1/2

c)

2/4

d)

3/4

61.

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability that one is even and one is odd?

a)

1/2

b)

1/4

c)

3/4

d)

1/3

62.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  
a)
6
b)
12
c)
24
d)
36
63.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling a less than 6 and flipping a head?
a)
2/12
b)
3/12
c)
4/12
d)
5/12
64.
A bag contains 3 white balls, 4 green balls. 2 balls are drawn from the bag without replacement.
Use a tree diagram to find the probability that the balls are white colors.
a)
5/13
b)
5/42
c)
6/42
d)
3/7
65.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked x

a)

7/10

b)

3/10

c)

6/9

d)

2/9

66.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked y

a)

7/10

b)

3/10

c)

6/9

d)

2/9

67.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked w

a)

7/10

b)

3/10

c)

6/9

d)

2/9

68.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

69.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

70.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

71.

How many students participated in spanish or math?

a)

238

b)

255

c)

5

d)

15

72.
How many senior boys play football or wrestle?
a)
9
b)
21
c)
30
d)
39
73.
What does the shaded portion of the Venn diagram represent?
a)
Band and Art
b)
Only Art
c)
Band or Art
d)
Neither
74.

What is the probability that someone plays basketball?

a)

.50

b)

.68

c)

.52

d)

.46

75.
What is P(Foreign language | Sport)?
a)
14/27
b)
7/12
c)
23/47
d)
37/47
76.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play football only?

a)

66/80

b)

4/80

c)

18/80

d)

49/80

77.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play Hockey and Rugby?

a)

36/80

b)

5/80

c)

41/80

d)

44/80

78.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play Hockey and Rugby but not Football?

a)

36/80

b)

5/80

c)

41/80

d)

44/80

79.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play any of the three sports?

a)

79/80

b)

1/80

c)

74/80

d)

6/80

80.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they don't play any of the three sports?

a)

79/80

b)

1/80

c)

74/80

d)

6/80

81.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play Rugby or Hockey but not Football?

a)

75/80

b)

8/80

c)

13/80

d)

44/80

82.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they don't play Rugby?

a)

24/80

b)

77/80

c)

23/80

d)

17/80

83.

shade the required region

a)
b)
c)
84.

The Venn diagram above shows information about the number of students who study Music (M ), Drama (D) and Geography (G).

How many students study Music?

a)

14

b)

16

c)

5

85.

The Venn diagram above shows information about the number of students who study Music (M ), Drama (D) and Geography (G).How many students study exactly two subjects?

a)

14

b)

16

c)

15

86.
What percentage of girls have blonde hair?
a)
30%
b)
32%
c)
29%
d)
40%
87.
What percentage of SUV's are driven by women?
a)
56.25%
b)
75%
c)
83.25%
d)
86.5%
88.

How many females studied Spanish?

a)

13

b)

30

c)

24

d)

17

89.

A student is picked at random.

What is the probability the student is female who studies French?

a)

18/72

b)

24/72

c)

13/72

d)

17/72

90.

A female student is picked at random.

What is the probability the student studies French?

a)

17/41

b)

24/41

c)

24/72

d)

17/72

91.
How many more 9th graders voted than 8th graders?
a)
75
b)
5
c)
155
d)
80
92.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked x

a)

7/10

b)

3/10

c)

6/9

d)

2/9

93.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked y

a)

7/10

b)

3/10

c)

6/9

d)

2/9

94.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked w

a)

7/10

b)

3/10

c)

6/9

d)

2/9

95.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of picking two red counters.

a)

6/90

b)

5/19

c)

47/90

d)

2/9

96.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of picking one of each colour counters.

a)

21/90

b)

48/90

c)

42/90

d)

10/19

97.

A game is played where a fair coin is flipped.

Heads you lose, tails you get to flip again.

On the second go heads you lose and tails you win.

What is the probability of losing on the first go?

a)

1/2

b)

1/4

c)

3/4

d)

1

98.

A game is played where a fair coin is flipped.

Heads you lose, tails you get to flip again.

On the second go heads you lose and tails you win.

What is the probability of losing on the second go?

a)

1/2

b)

1/4

c)

3/4

d)

1

99.

A game is played where a fair coin is flipped.

Heads you lose, tails you get to flip again.

On the second go heads you lose and tails you win.

What is the probability of winning?

a)

1/2

b)

1/4

c)

3/4

d)

1

100.

A game is played where a fair coin is flipped.

Heads you lose, tails you get to flip again.

On the second go heads you lose and tails you win.

What is the probability of losing?

a)

1/2

b)

1/4

c)

3/4

d)

1

101.

There are 8 counters in a bag, 1 is red.


I take one counter, replace it, then take another.

What is the probability of taking a red counter on the first go?

a)

1/8

b)

7/8

c)

1/7

d)

6/7

102.

There are 8 counters in a bag, 1 is red.


I take one counter, replace it, then take another.

What is the probability of taking a red counter on the second go?

a)

1/8

b)

7/8

c)

1/7

d)

6/7

103.

There are 8 counters in a bag, 1 is red.


I take one counter, replace it, then take another.

What is the probability of taking two red counters?

a)

1/8

b)

1/64

c)

2/8

d)

2/64

104.

There are 8 counters in a bag, 1 is red.


I take one counter, replace it, then take another.

What is the probability of taking counters of the same colour?

a)

14/64

b)

1/64

c)

50/64

d)

49/64

105.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling an even number and flipping a head?
a)
3/12
b)
1/2
c)
4/12
d)
0/12
106.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling a less than 6 and flipping a head?
a)
2/12
b)
3/12
c)
4/12
d)
5/12
107.

A bag contains 3 white balls, 4 green balls. 2 balls are drawn from the bag without replacement. Find the probability that the balls are white colors.

a)
5/13
b)
5/42
c)
6/42
d)
3/7
108.

A bag contains 3 white balls, 4 green balls. 3 balls are drawn from the bag without replacement. Find the probability that the balls are white colors.

a)
5/18
b)
6/210
c)
6/18
d)
5/210
109.

In a box are 3 red pens, 4 black pens and 2 green pens. You pick a pen at random without putting it back. Your friend then picks a pen. What is the probability you both pick black pens?

a)

1/6

b)

4/9

c)

3/81

d)

9/72

110.
How many senior boys play football or wrestle?
a)
9
b)
21
c)
30
d)
39
111.

What is the porportion of students play basketball?

a)

.50

b)

.68

c)

.52

d)

.46

112.
What statement does the shaded region represent?
a)
A or B
b)
A and B
c)
A
d)
B
113.

Identify the shaded area...

a)

A

b)

A Only

c)

A'

d)

B'

114.

Identify the shaded area...

a)

B Only

b)

B

c)

A'

d)

B'

115.

Identify the shaded area...

a)

B

b)

B

c)

A'

d)

B'

116.

Identify the shaded area...

a)

A and B

b)

A or B

c)

A' and B'

d)

A' or B'

117.

Identify the shaded area...

a)

A and B

b)

A or B

c)

A' and B'

d)

A' or B'

118.

Identify the shaded area...

a)

A' and B

b)

A and B'

c)

A or B'

d)

A' or B

119.

Identify the shaded area...

a)

A' and B

b)

A and B'

c)

A or B'

d)

A' or B

120.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play football?

a)

66/80

b)

4/80

c)

18/80

d)

49/80

121.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play football only?

a)

66/80

b)

4/80

c)

18/80

d)

49/80

122.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play all three sports?

a)

31/80

b)

45/80

c)

62/80

d)

67/80

123.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play Hockey and Rugby?

a)

36/80

b)

5/80

c)

41/80

d)

44/80

124.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play Hockey and Rugby but not Football?

a)

36/80

b)

5/80

c)

41/80

d)

44/80

125.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play any of the three sports?

a)

79/80

b)

1/80

c)

74/80

d)

6/80

126.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they don't play any of the three sports?

a)

79/80

b)

1/80

c)

74/80

d)

6/80

127.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play Rugby or Hockey?

a)

75/80

b)

8/80

c)

13/80

d)

44/80

128.

The given Venn diagram displays the number of customers who ordered chicken nuggets (C) and French fries (F) at Joe’s diner on a Saturday evening.  How many customers chose to order something else on the menu?

a)

9

b)

15

c)

47

d)

46

129.

Same scenario as in Question 5 (Out of forty students, 14 are taking English Composition, 29 are taking Chemistry and 5 students are in both classes.) How many are in either class?

a)

43

b)

38

c)

14

d)

34

130.

Same scenario as in Question 5 (Out of forty students, 14 are taking English Composition, 29 are taking Chemistry and 5 students are in both classes.) What is the probability that a randomly chosen student from this group is taking only the Chemistry class?

a)

5/40

b)

14/40

c)

24/40

d)

29/40

131.
What proportion of students like basketball?
a)
72/342
b)
36/198
c)
36/144
d)
36/72
132.
Students in an Intro Stats class were asked to describe their politics as "Liberal," "Moderate," or "Conservative."  What percent of the class is male (rounded to the nearest percent) ?
a)
60%
b)
59%
c)
55%
d)
78%
133.
According to the table, what is the relative frequency of students ages 10 - 13 who eat breakfast?
a)
About 33%
b)
About 50%
c)
About 40%
d)
About 44%
134.
How many chemical engineers chose Science as their favorite subject?
a)
80
b)
91
c)
171
d)
262
135.
What percentage of the students were boys?
a)
20%
b)
25%
c)
40%
d)
50%
136.
Out of those surveyed, what is the probability that the student is a boy who can't bike to school (in simplest form)?
a)
4/30
b)
7/30
c)

2/30

d)
14/30
137.
Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?
a)
1 ⁄ 16
b)
1 ⁄ 2
c)
1 ⁄ 4
d)
1 ⁄ 8
138.
Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?
a)
1 / 16
b)
1 ⁄ 6
c)
1 ⁄ 8
d)
3 ⁄ 4
139.
You have a bag of 17 marbles.  Four are blue, 6 are green, 2 are red, and the others are yellow.  What is the probability of drawing a red marble, putting it aside, and then drawing a green marble?
a)
1/136
b)
2/17
c)
3/68
140.
When using a 6-sided number cube, what is the probability or rolling a 3, then not rolling a 3, and then rolling an even number?
a)
1/12
b)
1/2
c)
5/6
d)
5/72
141.
Jamie has 3 raffle tickets. One hundred tickets were sold. Her name was not drawn for the first prize. What is the probability that her name will be drawn for the second prize?
a)
1/3
b)
1/33
c)
3/100
d)
2/99
142.
You roll a six sided die. What is the probability of rolling an even number three times in a row? 
a)
3/100
b)
1/2
c)
1/6
d)
1/8

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